The number 49352
49352 is a composite number with 16 divisors. Its prime factorisation is × 31 × 199. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 199, 248, 398, 796, 1592, 6169, 12338, 24676, 49352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49352 is composite. Its prime factorisation is
- 3
The divisors add up to 96000; without 49352 itself that is 46648, so 49352 is deficient (46648 is less than 49352). Euler's totient φ(49352) = 23760 numbers up to 49352 share no factor with it.
- 4
The digits of 49352 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49352 = 2^{3} \times 31 \times 199 \]49352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96000 |
| Euler totient φ(n) | 23760 |
| Square | 2435619904 |
| Cube | 120202713502208 |
| Square root | 222.153100 (= 2√12338) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9352 × |
49352 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and fifty-two |
| Binary (base 2) | 1100000011001000 |
| Octal (base 8) | 140310 |
| Hexadecimal (base 16) | C0C8 |
| Base 3 | 2111200212 |
| As time | 49352 seconds = 13 h 42 min 32 s |
Is 49352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49352 ÷ 2 = 24676) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49352 ÷ 4 = 12338) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (49352 ÷ 8 = 6169) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49352 a prime number?
No. 49352 = × 31 × 199, so it is divisible by 2.
What are the factors of 49352?
1, 2, 4, 8, 31, 62, 124, 199, 248, 398, 796, 1592, 6169, 12338, 24676, 49352.
What is 49352 in binary?
1100000011001000 (hexadecimal C0C8, octal 140310).
What is the square root of 49352?
About 222.1531, exactly 2√12338.
Is 49352 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 49352?
It is a composite number with 16 divisors.